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MathNet 2011 Question 23

Math Olympiad Vault · MathNet 2011

Question 23

The cells of a $10 \times 10$ square are susceptible to infection. In a unit of time, the cells with 2 or more infected neighbours (having a common side) become infected. Is it possible to start the infection in

a. nine cells,
b. ten cells,

in such a way that the infection spreads to the whole square?